| 非线性时滞控制系统Runge-Kutta方法的IS稳定性 |
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| 引用本文： | 田献珍,余越昕. 非线性时滞控制系统Runge-Kutta方法的IS稳定性[J]. 广西工学院学报, 2010, 21(2): 41-46 |
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| 作者姓名： | 田献珍 余越昕 |
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| 作者单位： | 1. 广西工学院鹿山学院,广西,柳州,545616
2. 湘潭大学数学院,湖南,湘潭411105 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究求解非线性时滞控制系统的Runge-Kutta方法的IS稳定性,首先给出非线性时滞控制系统理论解IS稳定的充分条件,在约束网格下,将(k,l)为代数稳定的Runge-Kutta方法求解该系统,获得了方法IS稳定的条件.
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| 关 键 词： | 非线性时滞控制系统 Runge-Kutta方法 IS稳定性 |
Input-to-state stability of Runge-Kutta methods for nonlinear control systems with delay |
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| TIAN Xian-zhen,YU Yue-xin. Input-to-state stability of Runge-Kutta methods for nonlinear control systems with delay[J]. Journal of Guangxi University of Technology, 2010, 21(2): 41-46 |
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| Authors: | TIAN Xian-zhen YU Yue-xin |
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| Affiliation: | 1.Lushan College,Guangxi University of Technology,Liuzhou 545616,China;2.Mathematics College,Xiangtan University,Xiangtan 411105,China) |
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| Abstract: | This paper studies the numerical solution of Input-to-state stability of Runge-Kutta methods for nonlinear control systems with delay.First,a sufficient condition for the theoretical solution of the systerms is given.Then,（k,l）-algebraically stable Runge-Kutta methods are adapted for solving the systems at conditions of constrained grid,and the sufficient condition of the numerical methods to be input-to-state stability are obtained. |
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| Keywords: | nonlinear control systems with delay Runge-Kutta methods input-to-state stability |
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